Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10180978 | Comptes Rendus Mathematique | 2016 | 4 Pages |
Abstract
In this paper, we introduce a new nonparametric estimation of the regression function when both the response and the explanatory variables are of the functional kind. First, we construct a local linear estimator of this regression operator, then we state its rate for the uniform almost complete convergence. This latter is expressed as a function of the small ball probability of the predictor and as a function of the entropy of the set on which the uniformity is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jacques Demongeot, Ali Laksaci, Amina Naceri, Mustapha Rachdi,